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We investigate the relative phase between two weakly interacting 1D condensates of bosonic atoms after suddenly switching on the tunnel-coupling. The following phase dynamics is governed by the quantum sine-Gordon equation. In the…

Quantum Gases · Physics 2013-05-30 Clemens Neuenhahn , Anatoli Polkovnikov , Florian Marquardt

In this paper we study the phenomenon of nonlinear supratransmission in a semi-infinite discrete chain of coupled oscillators described by modified sine-Gordon equations with constant external and internal damping, and subject to harmonic…

Numerical Analysis · Mathematics 2011-12-06 J. E. Macías-Díaz , A. Puri

We consider branched Josephson junction created by planar superconductors connected to each other through the Y-junction insulator. Assuming that the structure interacts with the external constant magnetic field, we study static sine-Gordon…

Mesoscale and Nanoscale Physics · Physics 2020-07-14 K. Sabirov , D. Babajanov , D. Matrasulov , H. Susanto

Oscillons are localized field configurations oscillating in time with lifetimes orders of magnitude longer than their oscillation period. In this paper, we simulate non-travelling oscillons produced by deforming the breather solutions of…

High Energy Physics - Theory · Physics 2024-02-09 José T. Gálvez Ghersi , Jonathan Braden

We study the thermal equilibrium of nonlinear Klein-Gordon chains at the limit of small coupling (anticontinuum limit). We show that the persistence distribution associated to the local energy density is a useful tool to study the…

Statistical Mechanics · Physics 2009-11-13 Jean Farago

We study the existence and stability of multibreathers in Klein-Gordon chains with interactions that are not restricted to nearest neighbors. We provide a general framework where such long range effects can be taken into consideration for…

Pattern Formation and Solitons · Physics 2015-06-04 V. Koukouloyannis , P. G. Kevrekidis , J. Cuevas , V. Rothos

We study a model of Josephson layered structure which is characterized by two peculiarities: (i) superconducting layers are thin; (ii) due to suppression of superconducting states in superconducting layers the current-phase relation is…

Mathematical Physics · Physics 2015-06-18 G. L. Alfimov , A. S. Malishevskii , E. V. Medvedeva

We report analytical and numerical results on breather-like field configurations in a theory which is a deformation of the integrable sine-Gordon model in (1+1) dimensions. The main motivation of our study is to test the ideas behind the…

High Energy Physics - Theory · Physics 2014-04-24 L. A. Ferreira , Wojtek J. Zakrzewski

In this communication, we examine a nonlinear model with an impurity emulating a bend. We justify the geometric interpretation of the model and connect it with earlier work on models including geometric effects. We focus on both the…

Pattern Formation and Solitons · Physics 2015-05-25 J. Cuevas , P. G. Kevrekidis

The paper reports on experimental observation of sub-terahertz sound wave generation and detection by a long Josephson junction. This effect was discovered at spectral measurements of sub-terahertz electromagnetic emission from a flux-flow…

Superconductivity · Physics 2015-06-18 Valery P. Koshelets

To study the propagation of nonlinear waves across Y- and T-type junctions, we consider the 2D sine--Gordon equation as a model and study the dynamics of kinks and breathers in such geometries. The comparison of the energies reveals that…

Pattern Formation and Solitons · Physics 2020-03-24 Jean-Guy Caputo , Denys Dutykh

We find a mapping of the layered sine-Gordon model to an equivalent gas of topological excitations and determine the long-range interaction potentials of the topological defects. This enables us to make a detailed comparison to the…

Superconductivity · Physics 2007-06-13 I. Nandori , U. D. Jentschura , S. Nagy , K. Sailer , K. Vad , S. Meszaros

Existence of large-amplitude time-periodic breathers localized near a single site is proved for the discrete Klein--Gordon equation, in the case when the derivative of the on-site potential has a compact support. Breathers are obtained at…

Pattern Formation and Solitons · Physics 2010-11-30 Guillaume James , Dmitry Pelinovsky

Interaction of a fluxon in the two-dimensional large Josephson junction with the finite area inhomogeneity is studied within the sine-Gordon theory. The spectral density of the emitted plane waves is computed exactly for the rectangular and…

Superconductivity · Physics 2014-12-12 Ivan O. Starodub , Yaroslav Zolotaryuk

We report on the experimental generation of discrete breather states (intrinsic localized modes) in frustrated Josephson arrays. Our experiments indicate the formation of discrete breathers during the transition from the static to the…

Condensed Matter · Physics 2007-05-23 M. Schuster , F. Pignatelli , A. V. Ustinov

We analyze a perturbation of the boundary Sine-Gordon model where two boundary terms of different periodicities and scaling dimensions are coupled to a Kondo-like spin degree of freedom. We show that, by pertinently engineering the coupling…

Superconductivity · Physics 2015-05-18 Domenico Giuliano , Pasquale Sodano

Superconductor-based light-emitting diode (superconductor-based LED) in strong light-confinement regime are characterized as a superconductor-based three-terminal device, and its transport properties are quantitatively investigated. In the…

We investigate the zero-bias behavior of Josephson junctions made of encapsulated graphene boron nitride heterostructures in the long ballistic junction regime. For temperatures down to 2.7K, the junctions appear non-hysteretic with respect…

Mesoscale and Nanoscale Physics · Physics 2021-01-01 J. Tang , M. T. Wei , A. Sharma , E. G. Arnault , A. Seredinski , Y. Mehta , K. Watanabe , T. Taniguchi , F. Amet , I. Borzenets

In this work, we explore a prototypical example of a genuine continuum breather (i.e., not a standing wave) and the conditions under which it can persist in a $\mathcal{P T}$-symmetric medium. As our model of interest, we will explore the…

Pattern Formation and Solitons · Physics 2015-01-21 N. Lu , J. Cuevas-Maraver , P. G. Kevrekidis

Theory of non-stationary coherent effects is developed for superconductor-normal-superconductor (SNS) structures with relatively strong normal scattering on S/N interfaces (interface resistance is large compared to intrinsic resistance of N…

Superconductivity · Physics 2015-05-13 K. S. Tikhonov , M. V. Feigel'man